In how many ways can 7 boys and 5 girls be arranged in a row so that no two girls come together?

In how many ways can 5 boys and 3 girls stand in a row such that no two girls are together?

There are 7 boys and 3 girls in a class. In how many ways can they be arranged in a row such that no two girls are together?

In how many, ways can 5 boys and 5 girls be placed in a circle,so( that no two boys are side by side?

In how many ways can 10 scrips be arranged, so that the best and the worst do not come together?

In how many ways can seven person be seat in a row of seats if two persons insist on sitting next to each other?

In how many ways can the letters of the words DIRECTOR be arranged in the form of words so that the two R's do not come together?

In how many ways can the letters of the words ALGEBRA be arranged in the form of words so that the two A's donot come together?

In how many ways can the letters of the words FRACTION be arranged so that the three vowels are never together?

In how many ways can the letters in the word GUWAHATI be arranged such that all the vowels are together

In how many ways can one post 3 letters in 5 post boxes?